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Divergence-free Isogeometric Methods for Flow in Porous Media
Norwegian University of Science and Technology, Faculty of Information Technology, Mathematics and Electrical Engineering, Department of Mathematical Sciences.
2012 (English)MasteroppgaveStudent thesis
Abstract [en]

This thesis is focused on solving the Darcy flow problem using divergence-free isogeometric methods, and comparing these results to the ones obtained using traditional finite element methods with Taylor Hood elements. A short introduction to B-splines is given, and a chapter is also about using repeated knots in the knot vectors to obtain a discontinuous basis for the finite element method. This can be useful when dealing with varying permeabilities.

Place, publisher, year, edition, pages
Institutt for matematiske fag , 2012. , 46 p.
Keyword [no]
ntnudaim:8357, MTFYMA fysikk og matematikk, Industriell matematikk
URN: urn:nbn:no:ntnu:diva-19546Local ID: ntnudaim:8357OAI: diva2:571486
Available from: 2012-11-22 Created: 2012-11-22

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